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Svetradugi [14.3K]
3 years ago
7

Solve this equation. 23x−15x=x−1 A. x=11315 B. x=178 C. x=1715 D. x=78

Mathematics
1 answer:
kherson [118]3 years ago
7 0

Answer:

x =1 7/8

Step-by-step explanation:

2/3x−1/5x=x−1

Multiply by 15 to clear the fractions

15(2/3x−1/5x)=15(x−1)

10x - 3x = 15x -15

Combine like terms

7x = 15x -15

Subtract 15x from each side

7x -15x = 15x -15x -15

-8x = -15

Divide each side by -8

-8x/-8 = -15/-8

x =15/8

x = 1 7/8

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5 0
2 years ago
Sam works 1/5 hour at the register of a store. He works 2/3 hour in the back stock room and 1/2 hour helping customers. How many
AleksandrR [38]

Answer:

Sam worked  \frac{41}{30}  hours that day (fractional answer)

Step-by-step explanation:

The total number of hours Sam worked is the sum of all the three hours given.

Let's add the first 2 using LCM and then add that result with the last.

Firstly:

\frac{1}{5}+\frac{2}{3}\\=\frac{1(3)+2(5)}{15}\\=\frac{13}{15}

Now,

\frac{13}{15}+\frac{1}{2}\\=\frac{13(2)+1(15)}{30}\\=\frac{41}{30}

The hours worked by Sam is 41/30 hours (fractional answer).

7 0
3 years ago
Passing through (-2,-6) and parallel to the line whose equation is y=-3x+4
Licemer1 [7]

Answer:

y = -3x - 12

Step-by-step explanation:

Lines that are parallel have the same gradient.

Therefore using the point (-2,-6) you can make your own equation.

-6 will be y, -2 will be x

All you have to do is find the y-intercept which is C in <em>y</em><em>=</em><em>mx</em><em>+</em><em>c</em>

-6 = -3(-2) + c

-6 = 6 + c

-12 = c

Therefore;

<u>y = -3x - 12</u>

6 0
3 years ago
You decide to take your car on a drive through Canada, where gas is sold in liters and distances are measured in kilometers. Sup
12345 [234]

Answer:

the no of liters required is 50.55 liters

Step-by-step explanation:

Given that

The car gas efficiency is 23.0 mi/gal

distance is 495 km

1 gal = 3.78 L

1 km = 0.6214 mi

We need to find out the no of liters of gas that would needed to complete a trip

So,

= (495 × 3.78 × 0.6214) ÷ (23)

= 50.55 Liters

hence, the no of liters required is 50.55 liters

7 0
3 years ago
Express 6.83 as a mixed number
Maksim231197 [3]
6.83 as a mixed number is:

6 83/100
4 0
3 years ago
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